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 A242765 a(1) = 2; for n>1, a(n) = product of digits of (a(n-1)^2). 0
 2, 4, 6, 18, 24, 210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 6 is in the sequence because 4^2=16 and 6*1=6. 18 is in the sequence because 6^2=36 and 3*6=18. Other similar sequences, starting from 3, 5 and 7, respectively: . 3, 9, 8, 24, 210, 0 (0 continued); . 5, 10, 0; . 7, 36, 108, 144, 0. MATHEMATICA a[1] = 2; a[n_] := a[n] = Times @@ IntegerDigits[a[n - 1]^2]; Array[a, 100] (* Jean-François Alcover, May 29 2014 *) NestList[Times@@IntegerDigits[#^2]&, 2, 80] (* Harvey P. Dale, Aug 23 2017 *) CROSSREFS Cf. A163522. Sequence in context: A064402 A268577 A075229 * A073664 A088174 A052930 Adjacent sequences:  A242762 A242763 A242764 * A242766 A242767 A242768 KEYWORD nonn,base,easy AUTHOR Vincenzo Librandi, May 29 2014 STATUS approved

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Last modified August 13 00:27 EDT 2020. Contains 336441 sequences. (Running on oeis4.)